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Finding the Fourth Proportional to 646,978.60, 970,613.70 and 197,720.20

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Solution

The fourth proportional to 646,978.60, 970,613.70 and 197,720.20 is: 296,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,978.60 : 970,613.70 = 197,720.20 : x
  2. Step 2: Convert to fraction form
    646,978.60/970,613.70 = 197,720.20/x
  3. Step 3: Cross multiply
    646,978.60x = 970,613.70 × 197,720.20
  4. Step 4: Simplify right side
    646,978.60x = 191,909,934,886.74
  5. Step 5: Solve for x
    x = 191,909,934,886.74/646,978.60
  6. Step 6: Final answer
    x = 296,624.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.